SOLUTION: fine the height of a right circular cylinder whose height is equal to its base radius and its volume is 72(3.14)cm3?

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Question 539767: fine the height of a right circular cylinder whose height is equal to its base radius and its volume is 72(3.14)cm3?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The volume in cubic centimeters is 72%2Api?
The volume of a cylinder is equal to the are of its base times the height.
The area of a circle of radius r is A=pi%2Ar%5E2 (Remember Apple pies are square, even if you think they're usually round).
Since the height of this cylinder is also r,
Volume+=+%28pi%2Ar%5E2%29r=pi%2Ar%5E3
If Volume+=+72%2Api=pi%2Ar%5E3 then
r%5E3=72 and r=root%283%2C72%29=root%283%2C8%2A9%29=root%283%2C8%29%2Aroot%283%2C9%29=2%2Aroot%283%2C9%29
My calculator says that's about 4.16 cm.